搜索结果: 16-30 共查到“复流形 manifolds”相关记录75条 . 查询时间(0.036 秒)
Complex structures on product of circle bundles over complex manifolds
Complex structures product of circle bundles complex manifolds
2011/1/17
Let ¯Li −→ Xi be a holomorphic line bundle over a compact complex manifold for i = 1, 2. Let Si denote the associated principal circle-bundle with respect to some hermitian inner product on...
Integrability of weak distributions on Banach manifolds
Banach manifold weak Banach submanifold weak distribution integral manifold
2011/1/19
This paper concerns the problem of integrability of non closed distributions on Banach
manifolds. We introduce the notion of weak distribution and we look for conditions under
which these distributi...
Moduli of K3 Surfaces and Irreducible Symplectic Manifolds
Moduli of K3 Surfaces Irreducible Symplectic Manifolds
2011/2/22
The name “K3 surfaces” was coined by A. Weil in 1957 when he formulated a research programme for these surfaces and their moduli.
Bottom of spectrum of Kahler manifolds with strongly pseudoconvex boundary
Bottom of spectrum of Kahler manifolds pseudoconvex boundary
2011/1/21
The study of the spectrum of the Laplace operator has been a very active subject in Riemannian geometry. In the compact case, the spectrum consists of eigenvalues.On a noncompact complete Riemannian m...
Compactifications of Complete Riemannian manifolds and Their Applications
Compactifications Complete Riemannian manifolds Applications
2011/1/21
To study a noncompact Riemannian manifold, it is often useful to find a compactification
or attach a boundary. For example, in hyperbolic geometry a lot of investigation is carried out on the sphere ...
New Examples of Compact Manifolds with Holonomy Spin(7)
New Examples of Compact Manifolds Holonomy Spin(7)
2011/2/21
We find new examples of compact Spin(7)-manifolds using a construction of Joyce [18, 19]. The essential ingredient in Joyce’s construction is a Calabi–Yau 4-orbifold with particular singularities admi...
On some problems on smooth approximation and smooth extension of Lipschitz functions on Banach-Finsler Manifolds
Riemannian manifolds Finsler manifolds Banach spaces
2011/2/24
Let us consider a Riemannian manifold M (either separable or non-separable). We prove that, for every " > 0, every Lipschitz function f : M ! R can be uniformly approximated by a Lipschitz, C1-smooth ...
Dirac Operator on Complex Manifolds and Supersymmetric Quantum Mechanics
Dirac Operator Complex Manifolds Supersymmetric Quantum Mechanics
2011/3/2
We explore a new simple N = 2 SQM model describing the motion over complex manifolds in external gauge fields. The nilpotent supercharge Q of the model can be interpreted as a (twisted) exterior holom...
Positive solutions for singularly perturbed nonlinear elliptic problem on manifolds via Morse theory
singular perturbation nondegenerate critical points Morse theory
2011/2/28
Given (M, g0) we consider the problem −"2g0+hu + u = (u+)p−1 with (", h) ∈ (0, ¯") × B. Here B is a ball centered at 0 with radius in the Banach space of all Ck symmetric covaria...
Neighbourhoods and isotopies of knots in contact 3-manifolds
Neighbourhoods isotopies of knots contact 3-manifolds
2011/1/19
We prove a neighbourhood theorem for arbitrary knots in contact 3-manifolds. As an application we show that two topologically isotopic Legendrian knots in a contact 3-manifold become Legendrian isotop...
Prolongation on regular infinitesimal flag manifolds
Overdetermined systems prolongation filtered manifolds weighted jet bundles
2011/1/19
Regular infinitesimal flag structures are geometric structures, which occur as underlying structures of parabolic geometries. Among these structures we have for instance conformal structures, contact ...
According to Giroux, contact manifolds can be described as open books whose pages are Stein manifolds. For 5-dimensional contact manifolds the pages are Stein surfaces, which permit a description via ...
Invariance property of Morse homology on noncompact manifolds
Invariance property of Morse homology noncompact manifolds
2011/2/28
In this article, we focus on the invariance property of Morse homology on noncompact manifolds. We expect to apply outcomes of this article to several types of Floer homology, thus we define Morse hom...
Circle action and some vanishing results on manifolds
circle action signature twisted signature operator rigidity
2011/1/19
Kawakubo and Uchida showed that, if a closed oriented 4k-dimensional manifold M admits a semi-free circle action such that the dimension of the fixed point set is less than 2k,then the signature of M ...
The aim of this paper is to extend the Morse theory for geodesics to the conical manifolds. In a previous paper [15] we de ned these manifolds as submanifolds of Rn with a nite number of conical sing...